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Finding the Fourth Proportional to 190, 262.24 and 116.32

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Solution

The fourth proportional to 190, 262.24 and 116.32 is: 160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190 : 262.24 = 116.32 : x
  2. Step 2: Convert to fraction form
    190/262.24 = 116.32/x
  3. Step 3: Cross multiply
    190x = 262.24 × 116.32
  4. Step 4: Simplify right side
    190x = 30,503.76
  5. Step 5: Solve for x
    x = 30,503.76/190
  6. Step 6: Final answer
    x = 160.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.